On nonlinear integro-differential operators in generalized Orlicz-Sobolev spaces

被引：0
|
作者：
Bardaro, C
Musielak, J
Vinti, G
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60769 Poznan, Poland
[3] Univ Perugia, Dipartimento Matemat, CNR, I-06100 Perugia, Italy
来源：
JOURNAL OF APPROXIMATION THEORY | 2000年 / 105卷 / 02期
关键词：
approximation by strongly singular integrals; Orlicz-Sobolev space; modular space; nonlinear integro-differential operator; generalized Lipschitz condition;
D O I：
10.1006/jath.2000.3463
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A nonlinear integral operator T of the form (Tf)(s) = integral(G) K(t, f(sigma(s, t))) d mu(t), for s is an element of G, is defined and investigated in the measure space (G, Sigma, mu), where f and K are vector-valued functions with values in normed linear spaces E and F, respectively. The results are applied to the case of integro-differential operators in generalized Orlicz-Sobolev spaces. There are studied problems of existence, embeddings, and approximation by means of T. (C) 2000 Academic Press.
引用
收藏
页码：238 / 251
页数：14
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